Calculus I Quiz 2 Solution: Finding the Derivative of tan(2x) with respect to x, Exercises of Calculus

The solution to quiz no. 2 in the calculus-i course, specifically for finding the derivative of tan(2x) with respect to x. The solution is presented step by step, showing the calculations and formulas used.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Name: SOLUTION Registration Number: SOLUTION
Quiz No. 2
Calculus-I Section-1
====================================================================
Problem: Find the derivative w.r.t. x of
).2tan(
2xxy
Solution:
)2tan(
2xxy
))2tan(( 2xx
dx
d
dx
dy
)2tan()()2tan( 22 x
dx
d
xx
dx
d
x
)2()2(sec2).2tan( 22 x
dx
d
xxxx
).2(sec2)2tan(2 22 xxxx
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Download Calculus I Quiz 2 Solution: Finding the Derivative of tan(2x) with respect to x and more Exercises Calculus in PDF only on Docsity!

Name: SOLUTION Registration Number: SOLUTION

Quiz No. 2

Calculus-I Section-

Problem: Find the derivative w.r.t. x of

tan( 2 ).

2 yx x

Solution:

tan( 2 )

2 yx x

( tan( 2 ))

2 x x dx

d

dx

dy  

tan( 2 ) ( ) tan( 2 )

2 2 x dx

d x x dx

dx

tan( 2 ). 2 sec ( 2 ) ( 2 )

2 2 x dx

dx xx x

2 tan( 2 ) 2 sec ( 2 ).

2 2  x xx x

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